Gravitational waves in massive gravity theories: waveforms, fluxes and constraints from extreme-mass-ratio mergers

Abstract

Is the graviton massless? This problem was addressed in the literature at a phenomenological level, using modified dispersion relations for gravitational waves, in linearized calculations around flat space. Here, we perform a detailed analysis of the gravitational waveform produced when a small particle plunges or inspirals into a large non-spinning black hole. Our results should presumably also describe the gravitational collapse to black holes and explosive events such as supernovae. In the context of a theory with massive gravitons and screening, merging objects up to $1\mathrm{Gpc}$ away or collapsing stars in the nearby galaxy may be used to constrain the mass of the graviton to be smaller than $\sim 10^{-23}\mathrm{eV}$, with low-frequency detectors. Our results suggest that the absence of dipolar gravitational waves from black hole binaries may be used to rule out entirely such theories.

arXiv commentImportant clarifications on screening and on our results added. Accepted for publication in Physical Review Letters

References in corpus (29)

• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• Resummation of Massive Gravity
• Tests of general relativity with GW150914
• Testing General Relativity with Present and Future Astrophysical Observations
• Generalization of the Fierz-Pauli Action
• Massive Gravity
• Theoretical Aspects of Massive Gravity
• Bimetric Gravity from Ghost-free Massive Gravity
• Bounding the mass of the graviton using gravitional-wave observations of inspiralling compact binaries
• Massive spin-2 fields on black hole spacetimes: Instability of the Schwarzschild and Kerr solutions and bounds on the graviton mass
• Theory-Agnostic Constraints on Black-Hole Dipole Radiation with Multi-Band Gravitational-Wave Astrophysics
• Bounding the mass of the graviton using binary pulsar observations
• Floating and sinking: the imprint of massive scalars around rotating black holes
• Gravitational Waves from Quasicircular Extreme Mass-Ratio Inspirals as Probes of Scalar-Tensor Theories
• Instability of black holes in massive gravity
• On Consistent Theories of Massive Spin-2 Fields Coupled to Gravity
• Interaction between bosonic dark matter and stars
• Black holes with massive graviton hair
• The Overlap of Numerical Relativity, Perturbation Theory and Post-Newtonian Theory in the Binary Black Hole Problem
• Gravitational waves from extreme mass-ratio inspirals in Dynamical Chern-Simons gravity
• Semianalytical estimates of scattering thresholds and gravitational radiation in ultrarelativistic black hole encounters
• Ultra-relativistic grazing collisions of black holes
• Massive gravity from bimetric gravity
• Exploring New Physics Frontiers Through Numerical Relativity
• Extreme black hole simulations: collisions of unequal mass black holes and the point particle limit
• Gauge Problem in the Gravitational Self-Force I. Harmonic Gauge Approach in the Schwarzschild Background
• Long-lived inverse chirp signals from core collapse in massive scalar-tensor gravity
• Non-Singular Black Holes in Massive Gravity: Time-Dependent Solutions
• Ultralight scalars and resonances in black-hole physics

Cited by in corpus (19)

• Effective Field Theories of Post-Newtonian Gravity: A comprehensive review
• Detecting scalar fields with Extreme Mass Ratio Inspirals
• Extreme mass ratio inspirals with spinning secondary: a detailed study of equatorial circular motion
• Extreme mass-ratio inspirals around a spinning horizonless compact object
• Detecting massive scalar fields with Extreme Mass-Ratio Inspirals
• Probing the Nature of Black Holes: Deep in the mHz Gravitational-Wave Sky
• Black hole superradiant instability for massive spin-2 fields
• Model independent tests of the Kerr bound with extreme mass ratio inspirals
• Extreme mass ratio inspirals in galaxies with dark matter halos
• Astrometric Effects of Gravitational Wave Backgrounds with non-Luminal Propagation Speeds
• Detection of scalar fields by Extreme Mass Ratio Inspirals with a Kerr black hole
• Distinguishing general relativity from Chern-Simons gravity using gravitational wave polarizations
• Gravitational waves in massive gravity: Waveforms generated by a particle plunging into a black hole and the excitation of quasinormal modes and quasibound states
• Extreme mass ratio inspirals around topological stars
• Tensor spectrum of turbulence-sourced gravitational waves as a constraint on graviton mass
• Signatures of modified gravity from the gravitational Aharonov-Bohm effect
• Electromagnetic Radiation from Binary Stars Mediated by Ultralight Scalar
• Gravitational wave memory and quantum Michelson interferometer
• Extreme mass-ratio inspirals as probes of scalar fields: eccentric equatorial orbits around Kerr black holes